Universidad de Jaén

THEORY

BLOCK I. ORDINARY DIFFERENTIAL EQUATIONS.

Topic 1. Introduction to differential equations.

Topic 2. First order differential equations.

Topic 3. Higher order linear differential equations with constant
coefficients.

Topic 4. Introduction to the Laplace Transform.

Topic 5. Systems of linear differential equations with constant
coefficients.

BLOCK II. NUMERICAL METHODS.

Topic 6. Introduction to Numerical Calculation. Resolution of
nonlinear equations.

Topic 7. Approximation of functions.

Topic 8. Numerical integration.

Topic 9. Numerical resolution of initial value problems.

PRACTICES WITH COMPUTER.

The contents that appear in Block II of theory (Numerical Methods)
are developed using the Mathematica program.

In
the expositive classes in a large group, the contents of
Differential Equations will be taught. They will be carried out in
the two hours of class assigned weekly in the schedule as theory.
The CB1 and CBB1 competitions will be developed.

Small group classes will be used to teach Numerical Methods
content. They will be carried out in the two hours assigned weekly
in the computer rooms. In these classes the contents of Numerical
Methods will be explained together with exercises using the
Mathematica program. The CB1 and CBB1 competitions will be
developed.



To the extent possible, at the end of the semester, one or
two seminars taught in English will be held, preferably by Visiting
Professors. These seminars will cover aspects of theory and
emphasize practical applications currently used in industry and
research, which may be of interest to students.

Students with special educational needs should contact the Student Attention Service (Servicio de Atención y Ayudas al Estudiante) in order to receive the appropriate academic support

To
pass the subject it is necessary to pass the differential equations
block and the numerical methods block.






Detailed breakdown of the grades:





Second Aspect (from 0 to 7 points):  Written exam
on the theoretical and applied aspects of the subject (3 points for
the Differential Equations block and 4 points for the Numerical
Methods block). The contribution to the final grade of this part of
the evaluation is subject to passing 40% of the grade of each block
of the exam. Likewise, a continuous evaluation system may be
proposed to obtain the 3 points corresponding to the Differential
Equations block. The competencies CB1 and CBB1 will be evaluated as
well as the results R02, R03, R06 and R08.





Third Aspect (from 0 to 2 points): Resolution of
exercises in the theory classroom proposed by the teacher
throughout the term.  A 20% of the final grade (2 points) will be
obtained by means of the accomplishment of two or more tests on the
contents of Differential Equations in class time. The competencies
CB1 and CBB1 as well as the results R03, R04, R05, R06 and R07 will
be evaluated.





Fourth Aspect (from 0 to 1 point):  Computer
classroom exam.  A 10% of the total grade of the course (1 point)
will be obtained by solving one or more exercises on the contents
of Numerical Methods during practical class hours and using the
Mathematica program. The competencies CB1 and CBB1 will be
evaluated as well as the results R04, R06, R07 and R08.

1) TEACHING METHODOLOGY AND TRAINING ACTIVITIES

2) EVALUATION SYSTEM

- WHEN IT IS POSSIBLE TO TAKE THE FINAL EXAM IN PERSON:

- WHEN IT IS NOT POSSIBLE TO TAKE THE FINAL EXAM IN PERSON:

3) RESOURCES NEEDED

- Virtual platform

- Google Meet 

1) TEACHING METHODOLOGY AND TRAINING ACTIVITIES

2) EVALUATION SYSTEM

-WHEN IT IS POSSIBLE TO TAKE THE FINAL EXAM IN PERSON:

- WHEN IT IS NOT POSSIBLE TO TAKE THE FINAL EXAM IN PERSON:

3) RESOURCES NEEDED

- Virtual platform

- Google Meet

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